TW201827877A - Lens assembly - Google Patents
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Abstract
Description
本發明係有關於一種成像鏡頭。 The invention relates to an imaging lens.
現今的成像鏡頭隨著不同的應用需求,除了需具備較大視角的特性外,還需具備高解析度的能力,習知的成像鏡頭已經無法滿足現今的需求,需要有另一種新架構的成像鏡頭,才能同時滿足較大視角及高解析度的特性。 With the different application requirements, today's imaging lenses need to have a high-resolution capability in addition to the characteristics of a larger viewing angle. The conventional imaging lenses can no longer meet today's needs and require another new architecture for imaging The lens can satisfy the characteristics of larger viewing angle and high resolution at the same time.
有鑑於此,本發明之主要目的在於提供一種成像鏡頭,其具備較大視角及高解析度的特性,但是仍具有良好的光學性能。 In view of this, the main purpose of the present invention is to provide an imaging lens which has the characteristics of a large viewing angle and high resolution, but still has good optical performance.
本發明之成像鏡頭沿著一光軸從一物側至一像側依序包括一第一透鏡、一第二透鏡、一光圈、一第三透鏡及一第四透鏡。第一透鏡具有負屈光力,此第一透鏡包括一凸面朝向物側及一凹面朝向像側。第二透鏡為雙凸透鏡具有正屈光力。第三透鏡具有屈光力,此第三透鏡包括一凹面朝向物側及一凸面朝向像側。第四透鏡具有正屈光力,此第四透鏡包括一凸面朝向像側。 The imaging lens of the present invention includes a first lens, a second lens, an aperture, a third lens, and a fourth lens in sequence from an object side to an image side along an optical axis. The first lens has negative refractive power. The first lens includes a convex surface facing the object side and a concave surface facing the image side. The second lens is a biconvex lens with positive refractive power. The third lens has refractive power. The third lens includes a concave surface facing the object side and a convex surface facing the image side. The fourth lens has a positive refractive power. The fourth lens includes a convex surface facing the image side.
本發明之成像鏡頭沿著一光軸從一物側至一像側依序包括一第一透鏡、一第二透鏡、一第三透鏡及一第四透鏡。第一透鏡具有負屈光力,此第一透鏡包括一凸面朝向物側及一凹面朝向像側。第二透鏡為雙 凸透鏡具有正屈光力。第三透鏡具有屈光力,此第三透鏡包括一凹面朝向物側及一凸面朝向像側。第四透鏡具有正屈光力,此第四透鏡包括一凸面朝向像側。第一透鏡、第二透鏡、第三透鏡及第四透鏡滿足以下條件:Vd1 40;Vd2 40;Vd3 40;Vd4 40;其中,Vd1為第一透鏡之阿貝係數,Vd2為第二透鏡之阿貝係數,Vd3為第三透鏡之阿貝係數,Vd4為第四透鏡之阿貝係數。 The imaging lens of the present invention includes a first lens, a second lens, a third lens, and a fourth lens in sequence along an optical axis from an object side to an image side. The first lens has negative refractive power. The first lens includes a convex surface facing the object side and a concave surface facing the image side. The second lens is a biconvex lens with positive refractive power. The third lens has refractive power. The third lens includes a concave surface facing the object side and a convex surface facing the image side. The fourth lens has positive refractive power. The fourth lens includes a convex surface facing the image side. The first lens, the second lens, the third lens, and the fourth lens satisfy the following conditions: Vd 1 40; Vd 2 40; Vd 3 40; Vd 4 40; where, Vd 1 is the Abbe coefficient of the first lens, Vd 2 is the Abbe coefficient of the second lens, Vd 3 is the Abbe coefficient of the third lens, and Vd 4 is the Abbe coefficient of the fourth lens.
其中第三透鏡具有正屈光力。 The third lens has positive refractive power.
其中第三透鏡具有負屈光力。 The third lens has negative refractive power.
其中第四透鏡可更包括一凸面朝向物側。 The fourth lens may further include a convex surface facing the object side.
其中第四透鏡可更包括一凹面朝向物側。 The fourth lens may further include a concave surface facing the object side.
其中第一透鏡滿足以下條件:0.6R11-R12 0.7;0.3(R11-R12)/(R11+R12)0.4;-3.0(R21-R22)/(R21+R22)-2.0;-0.1(R31-R32)/(R31+R32)0.1;其中,R11為第一透鏡之物側面之曲率半徑,R12為第一透鏡之像側面之曲率半徑,R21為第二透鏡之物側面之曲率半徑,R22為第二透鏡之像側面之曲率半徑,R31為第三透鏡之物側面之曲率半徑,R32為第三透鏡之像側面之曲率半徑。 The first lens meets the following conditions: 0.6 R 11 -R 12 0.7; 0.3 (R 11 -R 12 )/(R 11 +R 12 ) 0.4; -3.0 (R 21 -R 22 )/(R 21 +R 22 ) -2.0; -0.1 (R 31 -R 32 )/(R 31 +R 32 ) 0.1; where, R 11 is the radius of curvature of the object side of the first lens, R 12 is the radius of curvature of the image side of the first lens, R 21 is the radius of curvature of the object side of the second lens, and R 22 is the radius of curvature of the second lens The radius of curvature of the image side, R 31 is the radius of curvature of the object side of the third lens, and R 32 is the radius of curvature of the image side of the third lens.
其中成像鏡頭滿足以下條件:0.6SL/TTL0.8;其中,SL為光圈至一成像面於光軸上之一間距,TTL為第一透鏡之物側面至成像面於光軸上之一間距。 The imaging lens meets the following conditions: 0.6 SL/TTL 0.8; where, SL is a distance from the aperture to an imaging plane on the optical axis, and TTL is a distance from the object side of the first lens to the imaging plane on the optical axis.
其中成像鏡頭滿足以下條件:-0.9f/f1 -0.6;-0.1f/f3 0.4;3.0f4/f6.0;其中,f為成像鏡頭之有效焦距,f1為第一透鏡之有效焦距,f3為第三透鏡之有效焦距,f4為第四透鏡之有效焦距。 The imaging lens meets the following conditions: -0.9 f/f 1 -0.6; -0.1 f/f 3 0.4; 3.0 f 4 /f 6.0; where, f is the effective focal length of the imaging lens, f 1 is the effective focal length of the first lens, f 3 is the effective focal length of the third lens, and f 4 is the effective focal length of the fourth lens.
其中成像鏡頭滿足以下條件:Vd1=Vd2=Vd3=Vd4;其中,Vd1為第一透鏡之阿貝係數,Vd2為第二透鏡之阿貝係數,Vd3為第三透鏡之阿貝係數,Vd4為第四透鏡之阿貝係數。 The imaging lens satisfies the following conditions: Vd 1 = Vd 2 = Vd 3 = Vd 4 ; where Vd 1 is the Abbe coefficient of the first lens, Vd 2 is the Abbe coefficient of the second lens, and Vd 3 is the third lens Abbe coefficient, Vd 4 is the Abbe coefficient of the fourth lens.
為使本發明之上述目的、特徵、和優點能更明顯易懂,下文特舉較佳實施例並配合所附圖式做詳細說明。 In order to make the above objects, features, and advantages of the present invention more comprehensible, preferred embodiments are described in detail below in conjunction with the accompanying drawings.
1、2、3‧‧‧成像鏡頭 1, 2, 3‧‧‧ imaging lens
L11、L21、L31‧‧‧第一透鏡 L11, L21, L31 ‧‧‧ first lens
L12、L22、L32‧‧‧第二透鏡 L12, L22, L32 ‧‧‧ second lens
L13、L23、L33‧‧‧第三透鏡 L13, L23, L33 ‧‧‧ third lens
L14、L24、L34‧‧‧第四透鏡 L14, L24, L34 ‧‧‧ fourth lens
ST1、ST2、ST3‧‧‧光圈 ST1, ST2, ST3 ‧‧‧ aperture
OF1、OF2、OF3‧‧‧濾光片 OF1, OF2, OF3 ‧‧‧ filter
CG1、CG2、CG3‧‧‧保護玻璃 CG1, CG2, CG3‧‧‧protective glass
OA1、OA2、OA3‧‧‧光軸 OA1, OA2, OA3 ‧‧‧ optical axis
IMA1、IMA2、IMA3‧‧‧成像面 IMA1, IMA2, IMA3 ‧‧‧ imaging surface
S11、S12、S13、S14、S15‧‧‧面 S11, S12, S13, S14, S15
S16、S17、S18、S19、S110‧‧‧面 S16, S17, S18, S19, S110
S111、S112、S113‧‧‧面 S111, S112, S113
S21、S22、S23、S24、S25‧‧‧面 S21, S22, S23, S24, S25
S26、S27、S28、S29、S210‧‧‧面 S26, S27, S28, S29, S210
S211、S212、S213‧‧‧面 S211, S212, S213
S31、S32、S33、S34、S35‧‧‧面 S31, S32, S33, S34, S35
S36、S37、S38、S39、S310‧‧‧面 S36, S37, S38, S39, S310
S311、S312、S313‧‧‧面 S311, S312, S313
第1圖係依據本發明之成像鏡頭之第一實施例的透鏡配置與光路示意圖。 FIG. 1 is a schematic diagram of the lens configuration and optical path of the first embodiment of the imaging lens according to the present invention.
第2A圖係第1圖之成像鏡頭之場曲圖。 Figure 2A is a graph of the field curvature of the imaging lens of Figure 1.
第2B圖係第1圖之成像鏡頭之畸變圖。 Figure 2B is a distortion diagram of the imaging lens of Figure 1.
第2C圖係第1圖之成像鏡頭之調變轉換函數圖。 Figure 2C is a diagram of the modulation transfer function of the imaging lens of Figure 1.
第3圖係依據本發明之成像鏡頭之第二實施例的透鏡配置與光路示意圖。 FIG. 3 is a schematic diagram of the lens configuration and optical path of the second embodiment of the imaging lens according to the present invention.
第4A圖係第3圖之成像鏡頭之場曲圖。 Figure 4A is a field curvature diagram of the imaging lens of Figure 3.
第4B圖係第3圖之成像鏡頭之畸變圖。 Figure 4B is a distortion diagram of the imaging lens of Figure 3.
第4C圖係第3圖之成像鏡頭之調變轉換函數圖。 FIG. 4C is a modulation conversion function diagram of the imaging lens of FIG. 3.
第5圖係依據本發明之成像鏡頭之第三實施例的透鏡配置與光路示意圖。 FIG. 5 is a schematic diagram of the lens configuration and optical path of the third embodiment of the imaging lens according to the present invention.
第6A圖係第5圖之成像鏡頭之場曲圖。 Figure 6A is a graph of the field curvature of the imaging lens of Figure 5.
第6B圖係第5圖之成像鏡頭之畸變圖。 Figure 6B is a distortion diagram of the imaging lens of Figure 5.
第6C圖係第5圖之成像鏡頭之調變轉換函數圖。 FIG. 6C is a modulation conversion function diagram of the imaging lens of FIG. 5.
請參閱第1圖,第1圖係依據本發明之成像鏡頭之第一實施例的透鏡配置與光路示意圖。成像鏡頭1沿著一光軸OA1從一物側至一像側依序包括一第一透鏡L11、一第二透鏡L12、一光圈ST1、一第三透鏡L13、一第四透鏡L14、一濾光片OF1及一保護玻璃CG1。成像時,來自物側之光線最後成像於一成像面IMA1上。 Please refer to FIG. 1. FIG. 1 is a schematic diagram of a lens configuration and an optical path according to the first embodiment of the imaging lens of the present invention. The imaging lens 1 includes a first lens L11, a second lens L12, an aperture ST1, a third lens L13, a fourth lens L14, and a filter in order from an object side to an image side along an optical axis OA1 Optical sheet OF1 and a protective glass CG1. When imaging, the light from the object side is finally imaged on an imaging surface IMA1.
第一透鏡L11為凸凹透鏡具有負屈光力由塑膠材質製成,其物側面S11為凸面,像側面S12為凹面,物側面S11與像側面S12皆為非球面表面。 The first lens L11 is a convex-concave lens with negative refractive power and is made of plastic material. The object side S11 is convex, the image side S12 is concave, and both the object side S11 and the image side S12 are aspherical surfaces.
第二透鏡L12為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S13為凸面,像側面S14為凸面,物側面S13與像側面S14皆為非球面表面。 The second lens L12 is a biconvex lens with positive refractive power made of plastic material. Its object side S13 is convex, the image side S14 is convex, and both the object side S13 and the image side S14 are aspherical surfaces.
第三透鏡L13為凹凸透鏡具有正屈光力由塑膠材質製成,其物側面S16為凹面,像側面S17為凸面,物側面S16與像側面S17皆為非球面表面。 The third lens L13 is a concave-convex lens which has a positive refractive power and is made of plastic material. Its object side S16 is concave, the image side S17 is convex, and both the object side S16 and the image side S17 are aspherical surfaces.
第四透鏡L14為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S18為凸面,像側面S19為凸面,物側面S18與像側面S19皆為非球面表面。 The fourth lens L14 is a biconvex lens with positive refractive power made of plastic material. The object side S18 is convex, the image side S19 is convex, and both the object side S18 and the image side S19 are aspherical surfaces.
濾光片OF1其物側面S110與像側面S111皆為平面。 The object side S110 and the image side S111 of the filter OF1 are both flat.
保護玻璃CG1其物側面S112與像側面S113皆為平面。 The object side S112 and the image side S113 of the protective glass CG1 are both flat.
另外,第一實施例中的成像鏡頭1滿足底下十三條件中任一條件:
Vd11=Vd12=Vd13=Vd14 (13) Vd1 1 =Vd1 2 =Vd1 3 =Vd1 4 (13)
其中,Vd11為第一透鏡L11之阿貝係數,Vd12為第二透鏡L12之阿貝係數,Vd13為第三透鏡L13之阿貝係數,Vd14為第四透鏡L14之阿貝係數,R111為第一透鏡L11之物側面S11之曲率半徑,R112為第一透鏡L11之像側面S12之曲率半徑,R121為第二透鏡L12之物側面S13之曲率半徑,R122為第二透鏡L12之像側面S14之曲率半徑,R131為第三透鏡L13之物側面S16之曲率半徑,R132為第三透鏡L13之像側面S17之曲率半徑,SL1為光圈ST1至成像面IMA1於光軸OA1上之間距,TTL1為第一透鏡L11之物側面S11至成像面IMA1於光軸OA1上之間距,f1為成像鏡頭1之有效焦距,f11為第一透鏡L11之有效焦距,f13為第三透鏡L13之有效焦距,f14 為第四透鏡L14之有效焦距。 Where, Vd1 1 is the Abbe coefficient of the first lens L11, Vd1 2 is the Abbe coefficient of the second lens L12, Vd1 3 is the Abbe coefficient of the third lens L13, and Vd1 4 is the Abbe coefficient of the fourth lens L14, R1 11 is the radius of curvature of the object side S11 of the first lens L11, R1 12 is the radius of curvature of the image side S12 of the first lens L11, R1 21 is the radius of curvature of the object side S13 of the second lens L12, and R1 22 is the second The radius of curvature of the image side S14 of the lens L12, R1 31 is the radius of curvature of the object side S16 of the third lens L13, R1 32 is the radius of curvature of the image side S17 of the third lens L13, SL1 is the aperture ST1 to the imaging plane IMA1 The distance between the axes OA1, TTL1 is the distance from the object side S11 of the first lens L11 to the imaging plane IMA1 on the optical axis OA1, f1 is the effective focal length of the imaging lens 1, f1 1 is the effective focal length of the first lens L11, f1 3 Is the effective focal length of the third lens L13, and f1 4 is the effective focal length of the fourth lens L14.
利用上述透鏡、光圈及滿足條件(1)至條件(13)之設計,使得成像鏡頭1能提升視角、提升解析度、有效的修正像差。 With the above lens, aperture and the design satisfying the conditions (1) to (13), the imaging lens 1 can improve the angle of view, improve the resolution, and effectively correct aberrations.
表一為第1圖中成像鏡頭1之各透鏡之相關參數表,表一資料顯示,第一實施例之成像鏡頭1之有效焦距等於1.921mm、光圈值等於2.4、鏡頭總長度等於5.181mm、視角等於100度。 Table 1 is a table of related parameters of each lens of the imaging lens 1 in FIG. 1. The data in Table 1 shows that the effective focal length of the imaging lens 1 of the first embodiment is 1.921 mm, the aperture value is 2.4, and the total lens length is 5.181 mm. The angle of view is equal to 100 degrees.
表一中各個透鏡之非球面表面凹陷度z由下列公式所得到:z=ch2/{1+[1-(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12+Fh14+Gh16 The aspherical surface concave degree z of each lens in Table 1 is obtained by the following formula: z=ch 2 /{1+[1-(k+1)c 2 h 2 ] 1/2 }+Ah 4 +Bh 6 + Ch 8 +Dh 10 +Eh 12 +Fh 14 +Gh 16
其中:c:曲率;h:透鏡表面任一點至光軸之垂直距離;k:圓錐係數;A~G:非球面係數。 Where: c: curvature; h: vertical distance from any point on the lens surface to the optical axis; k: conic coefficient; A~G: aspherical coefficient.
表二為表一中各個透鏡之非球面表面之相關參數表,其中k為圓錐係數(Conic Constant)、A~G為非球面係數。 Table 2 is the related parameter table of the aspherical surface of each lens in Table 1, where k is the conic constant and A~G are the aspherical coefficients.
第一實施例之成像鏡頭1,其第一透鏡L11之阿貝係數Vd11=20.370,第二透鏡L12之阿貝係數Vd12=20.370,第三透鏡L13之阿貝係數Vd13=20.370,第四透鏡L14之阿貝係數Vd14=20.370,第一透鏡L11之物側面S11之曲率半徑R111=1.329mm,第一透鏡L11之像側面S12之曲率半徑R112=0.683mm,第二透鏡L12之物側面S13之曲率半徑R121=1.263mm, 第二透鏡L12之像側面S14之曲率半徑R122=-3.72mm,第三透鏡L13之物側面S16之曲率半徑R131=-0.828mm,第三透鏡L13之像側面S17之曲率半徑R132=-0.883mm,光圈ST1至成像面IMA1於光軸OA1上之間距SL1=3.365mm,第一透鏡L11之物側面S11至成像面IMA1於光軸OA1上之間距TTL1=5.181mm,成像鏡頭1之有效焦距f1=1.921mm,第一透鏡L11之有效焦距f11=-2.652mm,第三透鏡L13之有效焦距f13=27.019mm,第四透鏡L14之有效焦距f14=8.09mm。由上述資料可得到Vd11 40、Vd12 40、Vd13 40、Vd14 40、R111-R112=0.646、(R111-R112)/(R111+R112)=0.321、(R121-R122)/(R121+R122)=-2.028、(R131-R132)/(R131+R132)=-0.032、SL1/TTL1=0.650、f1/f11=-0.724、f1/f13=0.071、f14/f1=4.211、Vd11=Vd12=Vd13=Vd14=20.370,皆能滿足上述條件(1)至條件(13)之要求。 In the imaging lens 1 of the first embodiment, the Abbe coefficient Vd1 1 of the first lens L11 =20.370, the Abbe coefficient Vd1 2 of the second lens L12 =20.370, and the Abbe coefficient Vd1 3 of the third lens L13 =20.370, The Abbe coefficient Vd1 4 of the four lenses L14 = 20.370, the radius of curvature R1 11 of the object side S11 of the first lens L11 = 1.329 mm, the radius of curvature R1 12 of the image side S12 of the first lens L11 = 0.683 mm, and the second lens L12 The radius of curvature R1 21 of the object side S13 = 1.263 mm, the radius of curvature R1 22 of the image side S14 of the second lens L12 22 = -3.72 mm, the radius of curvature R1 31 of the object side S16 of the third lens L13 = -0.828 mm, The radius of curvature R1 32 of the image side S17 of the three lens L13 = -0.883 mm, the distance SL1 = 3.365 mm from the aperture ST1 to the imaging plane IMA1 on the optical axis OA1, and the object side S11 of the first lens L11 to the imaging plane IMA1 is on the optical axis the pitch OA1 TTL1 = 5.181mm, the effective focal length of the imaging lens 1 f1 = 1.921mm, the effective focal length of the first lens L11 f1 1 = -2.652mm, the effective focal length of the third lens L13 f1 3 = 27.019mm, the fourth lens The effective focal length of L14 f1 4 = 8.09mm. Vd1 1 can be obtained from the above information 40, Vd1 2 40, Vd1 3 40, Vd1 4 40, R1 11 -R1 12 =0.646, (R1 11 -R1 12 )/(R1 11 +R1 12 )=0.321, (R1 21 -R1 22 )/(R1 21 +R1 22 )=-2.028, (R1 31 -R1 32 )/(R1 31 +R1 32 )=-0.032, SL1/TTL1=0.650, f1/f1 1 =-0.724, f1/f1 3 =0.071, f1 4 /f1=4.211, Vd1 1 =Vd1 2 = Vd1 3 =Vd1 4 =20.370, which can meet the requirements of the above conditions (1) to (13).
另外,第一實施例之成像鏡頭1的光學性能也可達到要求,這可從第2A至第2C圖看出。第2A圖所示的,是第一實施例之成像鏡頭1的場曲(Field Curvature)圖。第2B圖所示的,是第一實施例之成像鏡頭1的畸變(Distortion)圖。第2C圖所示的,是第一實施例之成像鏡頭1的調變轉換函數(Modulation Transfer Function)圖。 In addition, the optical performance of the imaging lens 1 of the first embodiment can also meet the requirements, which can be seen from FIGS. 2A to 2C. Shown in FIG. 2A is a field curvature diagram of the imaging lens 1 of the first embodiment. Shown in FIG. 2B is a distortion diagram of the imaging lens 1 of the first embodiment. Shown in FIG. 2C is a modulation transfer function (Modulation Transfer Function) diagram of the imaging lens 1 of the first embodiment.
由第2A圖可看出,第一實施例之成像鏡頭1對波長為0.850μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.16mm至0.13mm之間。 As can be seen from FIG. 2A, the imaging lens 1 of the first embodiment has a field curvature between -0.16mm and 0.13mm for the light with a wavelength of 0.850μm in the tangential direction and sagittal direction .
由第2B圖可看出,第一實施例之成像鏡頭1對波長為0.850μm之光線所產生的畸變介於-1.3%至0%之間。 It can be seen from FIG. 2B that the distortion of the imaging lens 1 of the first embodiment to light with a wavelength of 0.850 μm is between -1.3% and 0%.
由第2C圖可看出,第一實施例之成像鏡頭1對波長為0.850 μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場高度分別為0.0000mm、0.6900mm、1.3800mm、2.0700mm、2.3000mm,空間頻率介於0lp/mm至166lp/mm,其調變轉換函數值介於0.08至1.0之間。 It can be seen from FIG. 2C that the imaging lens 1 of the first embodiment has a wavelength of 0.850 μm in the meridional (Tangential) direction and sagittal (Sagittal) direction, and the field of view heights are 0.0000 mm, 0.6900 mm, 1.3800mm, 2.0700mm, 2.3000mm, the spatial frequency is between 0lp/mm and 166lp/mm, and its modulation transfer function value is between 0.08 and 1.0.
顯見第一實施例之成像鏡頭1之場曲、畸變都能被有效修正,鏡頭解析度也都能滿足要求,從而得到較佳的光學性能。 It is obvious that the field curvature and distortion of the imaging lens 1 of the first embodiment can be effectively corrected, and the lens resolution can also meet the requirements, thereby obtaining better optical performance.
請參閱第3圖,第3圖係依據本發明之成像鏡頭之第二實施例的透鏡配置與光路示意圖。成像鏡頭2沿著一光軸OA2從一物側至一像側依序包括一第一透鏡L21、一第二透鏡L22、一光圈ST2、一第三透鏡L23、一第四透鏡L24、一濾光片OF2及一保護玻璃CG2。成像時,來自物側之光線最後成像於一成像面IMA2上。 Please refer to FIG. 3, which is a schematic diagram of a lens configuration and an optical path according to the second embodiment of the imaging lens of the present invention. The imaging lens 2 includes a first lens L21, a second lens L22, an aperture ST2, a third lens L23, a fourth lens L24, and a filter in order from an object side to an image side along an optical axis OA2 Optical sheet OF2 and a protective glass CG2. When imaging, the light from the object side is finally imaged on an imaging surface IMA2.
第一透鏡L21為凸凹透鏡具有負屈光力由塑膠材質製成,其物側面S21為凸面,像側面S22為凹面,物側面S21與像側面S22皆為非球面表面。 The first lens L21 is a convex-concave lens with a negative refractive power made of plastic material, its object side S21 is convex, the image side S22 is concave, and both the object side S21 and the image side S22 are aspherical surfaces.
第二透鏡L22為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S23為凸面,像側面S24為凸面,物側面S23與像側面S24皆為非球面表面。 The second lens L22 is a biconvex lens made of a plastic material with positive refractive power. The object side S23 is convex, the image side S24 is convex, and both the object side S23 and the image side S24 are aspherical surfaces.
第三透鏡L23為凹凸透鏡具有正屈光力由塑膠材質製成,其物側面S26為凹面,像側面S27為凸面,物側面S26與像側面S27皆為非球面表面。 The third lens L23 is a concave-convex lens which has a positive refractive power and is made of plastic material. Its object side S26 is concave, the image side S27 is convex, and both the object side S26 and the image side S27 are aspherical surfaces.
第四透鏡L24為凹凸透鏡具有正屈光力由塑膠材質製成,其物側面S28為凹面,像側面S29為凸面,物側面S28與像側面S29皆為非球面表面。 The fourth lens L24 is a concave-convex lens which has positive refractive power and is made of plastic material. Its object side S28 is concave, the image side S29 is convex, and both the object side S28 and the image side S29 are aspherical surfaces.
濾光片OF2其物側面S210與像側面S211皆為平面。 The object side S210 and the image side S211 of the filter OF2 are both flat.
保護玻璃CG2其物側面S212與像側面S213皆為平面。 The object side S212 and the image side S213 of the protective glass CG2 are both flat.
另外,第二實施例中的成像鏡頭2滿足底下十三條件中任一條件:
Vd21=Vd22=Vd23=Vd24 (26) Vd2 1 =Vd2 2 =Vd2 3 =Vd2 4 (26)
其中,Vd21為第一透鏡L21之阿貝係數,Vd22為第二透鏡L22之阿貝係數,Vd23為第三透鏡L23之阿貝係數,Vd24為第四透鏡L24之阿貝係數,R211為第一透鏡L21之物側面S21之曲率半徑,R212為第一透鏡L21之像側面S22之曲率半徑,R221為第二透鏡L22之物側面S23之曲率半徑,R222為第二透鏡L22之像側面S24之曲率半徑,R231為第三透鏡L23之 物側面S26之曲率半徑,R232為第三透鏡L23之像側面S27之曲率半徑,SL2為光圈ST2至成像面IMA2於光軸OA2上之間距,TTL2為第一透鏡L21之物側面S21至成像面IMA2於光軸OA2上之間距,f2為成像鏡頭2之有效焦距,f21為第一透鏡L21之有效焦距,f23為第三透鏡L23之有效焦距,f24為第四透鏡L24之有效焦距。 Among them, Vd2 1 is the Abbe coefficient of the first lens L21, Vd2 2 is the Abbe coefficient of the second lens L22, Vd2 3 is the Abbe coefficient of the third lens L23, and Vd2 4 is the Abbe coefficient of the fourth lens L24, R2 11 is the radius of curvature of the object side S21 of the first lens L21, R2 12 is the radius of curvature of the image side S22 of the first lens L21, R2 21 is the radius of curvature of the object side S23 of the second lens L22, and R2 22 is the second The radius of curvature of the image side S24 of the lens L22, R2 31 is the radius of curvature of the object side S26 of the third lens L23, R2 32 is the radius of curvature of the image side S27 of the third lens L23, SL2 is the aperture ST2 to the imaging plane IMA2 The distance between the axes OA2, TTL2 is the distance from the object side S21 of the first lens L21 to the imaging plane IMA2 on the optical axis OA2, f2 is the effective focal length of the imaging lens 2, f2 1 is the effective focal length of the first lens L21, f2 3 an effective focal length of the third lens L23, f2 4 as the effective focal length of the fourth lens L24.
利用上述透鏡、光圈及滿足條件(14)至條件(26)之設計,使得成像鏡頭2能提升視角、提升解析度、有效的修正像差。 With the above lens, aperture and the design satisfying the conditions (14) to (26), the imaging lens 2 can improve the angle of view, improve the resolution, and effectively correct the aberration.
表三為第3圖中成像鏡頭2之各透鏡之相關參數表,表三資料顯示,第二實施例之成像鏡頭2之有效焦距等於1.971mm、光圈值等於2.0、鏡頭總長度等於4.978mm、視角等於90度。 Table 3 is a table of related parameters of each lens of the imaging lens 2 in FIG. 3. The data in Table 3 shows that the effective focal length of the imaging lens 2 of the second embodiment is 1.971 mm, the aperture value is 2.0, and the total lens length is 4.978 mm. The angle of view is equal to 90 degrees.
表三中各個透鏡之非球面表面凹陷度z由下列公式所得到:z=ch2/{1+[1-(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12+Fh14+Gh16 The aspherical surface depression degree z of each lens in Table 3 is obtained by the following formula: z=ch 2 /{1+[1-(k+1)c 2 h 2 ] 1/2 }+Ah 4 +Bh 6 + Ch 8 +Dh 10 +Eh 12 +Fh 14 +Gh 16
其中:c:曲率;h:透鏡表面任一點至光軸之垂直距離;k:圓錐係數;A~G:非球面係數。 Where: c: curvature; h: vertical distance from any point on the lens surface to the optical axis; k: conic coefficient; A~G: aspherical coefficient.
表四為表三中各個透鏡之非球面表面之相關參數表,其中k為圓錐係數(Conic Constant)、A~G為非球面係數。 Table 4 is the related parameter table of the aspherical surface of each lens in Table 3, where k is the conic constant and A~G are the aspherical coefficients.
第二實施例之成像鏡頭2,其第一透鏡L21之阿貝係數Vd21=20.370,第二透鏡L22之阿貝係數Vd22=20.370,第三透鏡L23之阿貝係數Vd23=20.370,第四透鏡L24之阿貝係數Vd24=20.370,第一透鏡L21之物側面S21之曲率半徑R211=1.249mm,第一透鏡L21之像側面S22之曲率半徑R212=0.625mm,第二透鏡L22之物側面S23之曲率半徑R221=1.471mm, 第二透鏡L22之像側面S24之曲率半徑R222=-3.384mm,第三透鏡L23之物側面S26之曲率半徑R231=-1.393mm,第三透鏡L23之像側面S27之曲率半徑R232=-1.14mm,光圈ST2至成像面IMA2於光軸OA2上之間距SL2=3.625mm,第一透鏡L21之物側面S21至成像面IMA2於光軸OA2上之間距TTL2=4.978mm,成像鏡頭2之有效焦距f2=1.971mm,第一透鏡L21之有效焦距f21=-2.38mm,第三透鏡L23之有效焦距f23=5.231mm,第四透鏡L24之有效焦距f24=7.573mm。由上述資料可得到Vd21 40、Vd22 40、Vd23 40、Vd24 40、R211-R212=0.624、(R211-R212)/(R211+R212)=0.333、(R221-R222)/(R221+R222)=-2.583、(R231-R232)/(R231+R232)=0.100、SL2/TTL2=0.728、f2/f21=-0.828、f2/f23=0.377、f24/f2=3.842、Vd21=Vd22=Vd23=Vd24=20.370,皆能滿足上述條件(14)至條件(26)之要求。 In the imaging lens 2 of the second embodiment, the Abbe coefficient Vd2 1 of the first lens L21 =20.370, the Abbe coefficient Vd2 2 of the second lens L22 =20.370, and the Abbe coefficient Vd2 3 of the third lens L23 =20.370, The Abbe coefficient Vd2 4 of the four lenses L24 4 = 20.370, the radius of curvature R2 11 of the object side S21 of the first lens L21 11 = 1.249 mm, the radius of curvature R2 12 of the image side S22 of the first lens L21 12 = 0.625 mm, and the second lens L22 The radius of curvature R2 21 of the object side S23 = 1.471 mm, the radius of curvature R2 22 of the image side S24 of the second lens L22 22 = -3.384 mm, and the radius of curvature R2 31 of the object side S26 of the third lens L23 31 = -1.393 mm, The radius of curvature R2 of the image side S27 of the three lens L23 32 = -1.14 mm, the distance SL2 = 3.625 mm from the aperture ST2 to the imaging plane IMA2 on the optical axis OA2, and the object side S21 of the first lens L21 to the imaging plane IMA2 is on the optical axis the pitch OA2 TTL2 = 4.978mm, the effective focal length of the imaging lens 2 of f2 = 1.971mm, the effective focal length of the first lens L21 f2 1 = -2.38mm, the effective focal length of the third lens L23 f2 3 = 5.231mm, the fourth lens The effective focal length of L24 f2 4 =7.573mm. Vd2 1 can be obtained from the above information 40, Vd2 2 40, Vd2 3 40, Vd2 4 40, R2 11 -R2 12 =0.624, (R2 11 -R2 12 )/(R2 11 +R2 12 )=0.333, (R2 21 -R2 22 )/(R2 21 +R2 22 )=-2.583, (R2 31 -R2 32 )/(R2 31 +R2 32 )=0.100, SL2/TTL2=0.728, f2/f2 1 =-0.828, f2/f2 3 =0.377, f2 4 /f2=3.842, Vd2 1 =Vd2 2 =Vd2 3 =Vd2 4 =20.370, all can meet the requirements of the above conditions (14) to (26).
另外,第二實施例之成像鏡頭2的光學性能也可達到要求,這可從第4A至第4C圖看出。第4A圖所示的,是第二實施例之成像鏡頭2的場曲(Field Curvature)圖。第4B圖所示的,是第二實施例之成像鏡頭2的畸變(Distortion)圖。第4C圖所示的,是第二實施例之成像鏡頭2的調變轉換函數(Modulation Transfer Function)圖。 In addition, the optical performance of the imaging lens 2 of the second embodiment can also meet the requirements, which can be seen from FIGS. 4A to 4C. FIG. 4A is a field curvature diagram of the imaging lens 2 of the second embodiment. Shown in FIG. 4B is a distortion diagram of the imaging lens 2 of the second embodiment. Shown in FIG. 4C is a modulation transfer function diagram of the imaging lens 2 of the second embodiment.
由第4A圖可看出,第一實施例之成像鏡頭2對波長為0.850μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.06mm至0.10mm之間。 As can be seen from FIG. 4A, the imaging lens 2 of the first embodiment has a field curvature between -0.06mm and 0.10mm for the light with a wavelength of 0.850μm in the tangential and sagittal directions .
由第4B圖可看出,第二實施例之成像鏡頭2對波長為0.850μm之光線所產生的畸變介於-2.4%至0%之間。 It can be seen from FIG. 4B that the distortion of the imaging lens 2 of the second embodiment to light with a wavelength of 0.850 μm is between -2.4% and 0%.
由第4C圖可看出,第二實施例之成像鏡頭2對波長為0.850 μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場角度分別為0.00度、10.00度、20.00度、25.00度、35.00度、45.00度,空間頻率介於0lp/mm至166lp/mm,其調變轉換函數值介於0.22至1.0之間。 It can be seen from FIG. 4C that the imaging lens 2 of the second embodiment pairs of rays with a wavelength of 0.850 μm in the meridional (Tangential) direction and sagittal (Sagittal) direction, and the angles of view are 0.00 degrees, 10.00 degrees, 20.00 degrees, 25.00 degrees, 35.00 degrees, 45.00 degrees, the spatial frequency is between 0lp/mm to 166lp/mm, and its modulation transfer function value is between 0.22 and 1.0.
顯見第二實施例之成像鏡頭2之場曲、畸變都能被有效修正,鏡頭解析度也都能滿足要求,從而得到較佳的光學性能。 It is obvious that the field curvature and distortion of the imaging lens 2 of the second embodiment can be effectively corrected, and the lens resolution can also meet the requirements, thereby obtaining better optical performance.
請參閱第5圖,第5圖係依據本發明之成像鏡頭之第三實施例的透鏡配置與光路示意圖。成像鏡頭3沿著一光軸OA3從一物側至一像側依序包括一第一透鏡L31、一第二透鏡L32、一光圈ST3、一第三透鏡L33、一第四透鏡L34、一濾光片OF3及一保護玻璃CG3。成像時,來自物側之光線最後成像於一成像面IMA3上。 Please refer to FIG. 5. FIG. 5 is a schematic diagram of a lens configuration and an optical path of a third embodiment of the imaging lens according to the present invention. The imaging lens 3 includes a first lens L31, a second lens L32, an aperture ST3, a third lens L33, a fourth lens L34, and a filter in order from an object side to an image side along an optical axis OA3 Optical sheet OF3 and a protective glass CG3. When imaging, the light from the object side is finally imaged on an imaging surface IMA3.
第一透鏡L31為凸凹透鏡具有負屈光力由塑膠材質製成,其物側面S31為凸面,像側面S32為凹面,物側面S31與像側面S32皆為非球面表面。 The first lens L31 is a convex-concave lens with negative refractive power and is made of plastic material. Its object side S31 is convex, the image side S32 is concave, and both the object side S31 and the image side S32 are aspherical surfaces.
第二透鏡L32為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S33為凸面,像側面S34為凸面,物側面S33與像側面S34皆為非球面表面。 The second lens L32 is a biconvex lens with a positive refractive power made of plastic material, its object side S33 is convex, the image side S34 is convex, and both the object side S33 and the image side S34 are aspherical surfaces.
第三透鏡L33為凸凹透鏡具有負屈光力由塑膠材質製成,其物側面S36為凹面,像側面S37為凸面,物側面S36與像側面S37皆為非球面表面。 The third lens L33 is a convex-concave lens with negative refractive power made of plastic material. Its object side S36 is concave, the image side S37 is convex, and both the object side S36 and the image side S37 are aspherical surfaces.
第四透鏡L34為雙凸透鏡具有正屈光力由塑膠材質製成,其物側面S38為凸面,像側面S39為凸面,物側面S38與像側面S39皆為非球面表面。 The fourth lens L34 is a biconvex lens with positive refractive power made of plastic material, its object side S38 is convex, the image side S39 is convex, and both the object side S38 and the image side S39 are aspherical surfaces.
濾光片OF3其物側面S310與像側面S311皆為平面。 The object side S310 and the image side S311 of the filter OF3 are both flat.
保護玻璃CG3其物側面S312與像側面S313皆為平面。 The object side S312 and the image side S313 of the protective glass CG3 are both flat.
另外,第三實施例中的成像鏡頭3滿足底下十二條件中任一條件:
其中,Vd31為第一透鏡L31之阿貝係數,Vd32為第二透鏡L32之阿貝係數,Vd33為第三透鏡L33之阿貝係數,Vd34為第四透鏡L34之阿貝係數,R311為第一透鏡L31之物側面S31之曲率半徑,R312為第一透鏡L31之像側面S32之曲率半徑,R321為第二透鏡L32之物側面S33之曲率半徑,R322為第二透鏡L32之像側面S34之曲率半徑,R331為第三透鏡L33之物側面S36之曲率半徑,R332為第三透鏡L33之像側 面S37之曲率半徑,SL3為光圈ST3至成像面IMA3於光軸OA3上之間距,TTL3為第一透鏡L31之物側面S31至成像面IMA3於光軸OA3上之間距,f3為成像鏡頭3之有效焦距,f31為第一透鏡L31之有效焦距,f33為第三透鏡L33之有效焦距,f34為第四透鏡L34之有效焦距。 Where Vd3 1 is the Abbe coefficient of the first lens L31, Vd3 2 is the Abbe coefficient of the second lens L32, Vd3 3 is the Abbe coefficient of the third lens L33, and Vd3 4 is the Abbe coefficient of the fourth lens L34, R3 11 is the radius of curvature of the object side S31 of the first lens L31, R3 12 is the radius of curvature of the image side S32 of the first lens L31, R3 21 is the radius of curvature of the object side S33 of the second lens L32, and R3 22 is the second The radius of curvature of the image side S34 of the lens L32, R3 31 is the radius of curvature of the object side S36 of the third lens L33, R3 32 is the radius of curvature of the image side S37 of the third lens L33, SL3 is the aperture ST3 to the imaging plane IMA3 The distance between the axes OA3, TTL3 is the distance from the object side S31 of the first lens L31 to the imaging plane IMA3 on the optical axis OA3, f3 is the effective focal length of the imaging lens 3, f3 1 is the effective focal length of the first lens L31, f3 3 Is the effective focal length of the third lens L33, and f3 4 is the effective focal length of the fourth lens L34.
利用上述透鏡、光圈及滿足條件(27)至條件(38)之設計,使得成像鏡頭3能提升視角、提升解析度、有效的修正像差。 With the above lens, aperture, and design that satisfies the conditions (27) to (38), the imaging lens 3 can improve the angle of view, improve the resolution, and effectively correct aberrations.
表五為第5圖中成像鏡頭3之各透鏡之相關參數表,表五資料顯示,第三實施例之成像鏡頭3之有效焦距等於1.954mm、光圈值等於2.0、鏡頭總長度等於4.931mm、視角等於100度。 Table 5 is a table of related parameters of each lens of the imaging lens 3 in FIG. 5. The data in Table 5 shows that the effective focal length of the imaging lens 3 of the third embodiment is 1.954 mm, the aperture value is 2.0, and the total lens length is 4.931 mm. The angle of view is equal to 100 degrees.
表五中各個透鏡之非球面表面凹陷度z由下列公式所得到:z=ch2/{1+[1-(k+1)c2h2]1/2}+Ah4+Bh6+Ch8+Dh10+Eh12+Fh14+Gh16 The aspherical surface depression degree z of each lens in Table 5 is obtained by the following formula: z=ch 2 /{1+[1-(k+1)c 2 h 2 ] 1/2 }+Ah 4 +Bh 6 + Ch 8 +Dh 10 +Eh 12 +Fh 14 +Gh 16
其中:c:曲率;h:透鏡表面任一點至光軸之垂直距離;k:圓錐係數;A~G:非球面係數。 Where: c: curvature; h: vertical distance from any point on the lens surface to the optical axis; k: conic coefficient; A~G: aspherical coefficient.
表六為表五中各個透鏡之非球面表面之相關參數表,其中k為圓錐係數(Conic Constant)、A~G為非球面係數。 Table 6 is the related parameter table of the aspherical surface of each lens in Table 5, where k is the conic constant and A~G are the aspherical coefficients.
第三實施例之成像鏡頭3,其第一透鏡L31之阿貝係數Vd31=20.370,第二透鏡L32之阿貝係數Vd32=20.370,第三透鏡L33之阿貝係數Vd33=22,第四透鏡L34之阿貝係數Vd34=24,第一透鏡L31之物側面S31之曲率半徑R311=1.334mm,第一透鏡L31之像側面S32之曲率半徑R312=0.709mm,第二透鏡L32之物側面S33之曲率半徑R321=1.213mm,第 二透鏡L32之像側面S34之曲率半徑R322=-3.406mm,第三透鏡L33之物側面S36之曲率半徑R331=-0.801mm,第三透鏡L33之像側面S37之曲率半徑R332=-0.913mm,光圈ST3至成像面IMA3於光軸OA3上之間距SL3=3.094mm,第一透鏡L31之物側面S31至成像面IMA3於光軸OA3上之間距TTL3=4.931mm,成像鏡頭3之有效焦距f3=1.954mm,第一透鏡L31之有效焦距f31=-2.885mm,第三透鏡L33之有效焦距f33=-70.946mm,第四透鏡L34之有效焦距f34=10.178mm。由上述資料可得到Vd31 40、Vd32 40、Vd33 40、Vd34 40、R311-R312=0.625、(R311-R312)/(R311+R312)=0.306、(R321-R322)/(R321+R322)=-2.106、(R331-R332)/(R331+R332)=-0.065、SL3/TTL3=0.627、f3/f31=-0.677、f3/f33=-0.028、f34/f3=5.209,皆能滿足上述條件(27)至條件(38)之要求。 The imaging lens 3 of the third embodiment, a first Abbe's number of the lens L31 Vd3 1 = 20.370, Abbe's number of the second lens L32 Vd3 2 = 20.370, Abbe's number of the third lens L33 Vd3 3 = 22, the first The Abbe coefficient Vd3 4 of the four lens L34 4 = 24, the radius of curvature R3 11 of the object side S31 of the first lens L31 11 = 1.334 mm, the radius of curvature R3 12 of the image side S32 of the first lens L31 =0.709 mm, the second lens L32 The radius of curvature R3 21 of the object side S33 21 =1.213 mm, the radius of curvature R3 22 of the image side S34 of the second lens L32 22 =-3.406 mm, and the radius of curvature R3 31 of the object side S36 of the third lens L33 31 =-0.801 mm, The radius of curvature R3 32 of the image side S37 of the three lens L33 = -0.913 mm, the distance SL3 = 3.094 mm from the aperture ST3 to the imaging plane IMA3 on the optical axis OA3, and the object side S31 of the first lens L31 to the imaging plane IMA3 is on the optical axis The distance between OA3 and TTL3=4.931mm, the effective focal length of imaging lens 3 f3=1.954mm, the effective focal length of first lens L31 f3 1 =-2.885mm, the effective focal length of third lens L33 f3 3 =-70.946mm, the fourth The effective focal length of lens L34 f3 4 = 10.178 mm. Vd3 1 can be obtained from the above information 40, Vd3 2 40, Vd3 3 40, Vd3 4 40, R3 11 -R3 12 =0.625, (R3 11 -R3 12 )/(R3 11 +R3 12 )=0.306, (R3 21 -R3 22 )/(R3 21 +R3 22 )=-2.106, (R3 31 -R3 32 )/(R3 31 +R3 32 )=-0.065, SL3/TTL3=0.627, f3/f3 1 =-0.677, f3/f3 3 =-0.028, f3 4 /f3=5.209, all can meet the above conditions (27) to the requirements of condition (38).
另外,第三實施例之成像鏡頭3的光學性能也可達到要求,這可從第6A至第6C圖看出。第6A圖所示的,是第三實施例之成像鏡頭3的場曲(Field Curvature)圖。第6B圖所示的,是第三實施例之成像鏡頭3的畸變(Distortion)圖。第6C圖所示的,是第三實施例之成像鏡頭3的調變轉換函數(Modulation Transfer Function)圖。 In addition, the optical performance of the imaging lens 3 of the third embodiment can also meet the requirements, which can be seen from FIGS. 6A to 6C. FIG. 6A is a field curvature diagram of the imaging lens 3 of the third embodiment. Shown in FIG. 6B is a distortion diagram of the imaging lens 3 of the third embodiment. Shown in FIG. 6C is a modulation transfer function (Modulation Transfer Function) diagram of the imaging lens 3 of the third embodiment.
由第6A圖可看出,第三實施例之成像鏡頭3對波長為0.850μm之光線,於子午(Tangential)方向與弧矢(Sagittal)方向之場曲介於-0.14mm至0.08mm之間。 As can be seen from FIG. 6A, the imaging lens 3 of the third embodiment has a field curvature between -0.14mm and 0.08mm for the light with a wavelength of 0.850μm in the tangential and sagittal directions .
由第6B圖可看出,第三實施例之成像鏡頭3對波長為0.850μm之光線所產生的畸變介於-2.1%至1.1%之間。 It can be seen from FIG. 6B that the distortion of the imaging lens 3 of the third embodiment to light with a wavelength of 0.850 μm is between -2.1% and 1.1%.
由第6C圖可看出,第三實施例之成像鏡頭3對波長為0.850 μm之光線,分別於子午(Tangential)方向與弧矢(Sagittal)方向,視場角度分別為0.00度、10.00度、20.00度、25.00度、35.00度、50.00度,空間頻率介於0lp/mm至166lp/mm,其調變轉換函數值介於0.12至1.0之間。 As can be seen from FIG. 6C, the imaging lens 3 of the third embodiment pairs the light with a wavelength of 0.850 μm in the meridional (Tangential) direction and sagittal (Sagittal) direction, and the angles of view are 0.00 degrees, 10.00 degrees, 20.00 degrees, 25.00 degrees, 35.00 degrees, 50.00 degrees, the spatial frequency is between 0lp/mm and 166lp/mm, and its modulation transfer function value is between 0.12 and 1.0.
顯見第三實施例之成像鏡頭3之場曲、畸變都能被有效修正,鏡頭解析度也都能滿足要求,從而得到較佳的光學性能。 It is obvious that the field curvature and distortion of the imaging lens 3 of the third embodiment can be effectively corrected, and the lens resolution can also meet the requirements, thereby obtaining better optical performance.
Claims (11)
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US11079570B2 (en) | 2018-06-15 | 2021-08-03 | Largan Precision Co., Ltd. | Photographing optical lens assembly and electronic device |
TWI799016B (en) * | 2021-12-17 | 2023-04-11 | 大立光電股份有限公司 | Image capturing optical system, image capturing unit and electronic device |
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
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US11079570B2 (en) | 2018-06-15 | 2021-08-03 | Largan Precision Co., Ltd. | Photographing optical lens assembly and electronic device |
TWI799016B (en) * | 2021-12-17 | 2023-04-11 | 大立光電股份有限公司 | Image capturing optical system, image capturing unit and electronic device |
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